Question

Multiplication factors that go into 46

Answer 1

By multiplication factors, I am assuming there can be no decimal factors. So what I would do is start with the number one.

So 1x46=46

This is an even number so we know it is divisible by two.

So 2x23=46

We now know that any other factors, if any, are between 2 and 23.

So use the divisibility rule for three by summing the digits. So summing the digits of 46 4+6=10. We can now see that is not divisible by 3 or for that matter any multiple of 3.

We see that 46 ends with a 6 and not a 5 or 0, so we know it is not divisible by 5 or 10.

We now test the other numbers between 2 and 13.

So you don't have to test all of the numbers. I would place the number 1, 46, 2 and 23 in a parenthesis and work toward the middle.

So it would look like this.

(1, 2, 23, 46)

So checking the number 4, I would think 4x12 = 48 So four is not a factor of 46.

(1,2, 4, 12, 23, 46) Note that 4x12 are not factors of 46 and the numbers left to check are between 4 and 12.

Next I would check the number 7, I would think 7x7= 49. So seven is not a factor of 46.

(1, 2, 7,7, 23, 46) Note that 7x7 are not factors of 46 and that there are no other whole numbers between 7 and 7.

Since there are no whole numbers between 7 and 7, then I have checked for all the possible factors of 46.

So my answer would be 1x46 and 2x23

Answer 2

thank you so much @marshallinwashington